Dynamical vertex approximation: A step beyond dynamical mean-field theory A Toschi, AA Katanin, K Held Physical Review B 75 (4), 045118, 2007 | 447 | 2007 |

Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory G Rohringer, H Hafermann, A Toschi, AA Katanin, AE Antipov, ... Reviews of Modern Physics 90 (2), 025003, 2018 | 417 | 2018 |

Comparing pertinent effects of antiferromagnetic fluctuations in the two-and three-dimensional Hubbard model AA Katanin, A Toschi, K Held Physical Review B 80 (7), 075104, 2009 | 167 | 2009 |

From infinite to two dimensions through the functional renormalization group C Taranto, S Andergassen, J Bauer, K Held, A Katanin, W Metzner, ... Physical review letters 112 (19), 196402, 2014 | 166 | 2014 |

Critical properties of the half-filled hubbard model in three dimensions G Rohringer, A Toschi, A Katanin, K Held Physical review letters 107 (25), 256402, 2011 | 134 | 2011 |

Local magnetic moments in iron and nickel at ambient and Earth’s core conditions A Hausoel, M Karolak, E Şaşιoğlu, A Lichtenstein, K Held, A Katanin, ... Nature communications 8 (1), 1-9, 2017 | 121 | 2017 |

One-particle irreducible functional approach: A route to diagrammatic extensions of the dynamical mean-field theory G Rohringer, A Toschi, H Hafermann, K Held, VI Anisimov, AA Katanin Physical Review B 88 (11), 115112, 2013 | 106 | 2013 |

Dynamical vertex approximation: An introduction K Held, AA Katanin, A Toschi Progress of Theoretical Physics Supplement 176, 117-133, 2008 | 87 | 2008 |

Self-consistent dual boson approach to single-particle and collective excitations in correlated systems EA Stepanov, E Van Loon, AA Katanin, AI Lichtenstein, MI Katsnelson, ... Physical Review B 93 (4), 045107, 2016 | 67 | 2016 |

Interplay of correlations and Kohn anomalies in three dimensions: quantum criticality with a twist T Schäfer, AA Katanin, K Held, A Toschi Physical Review Letters 119 (4), 046402, 2017 | 58 | 2017 |

Van Hove Singularity and Spontaneous Fermi Surface Symmetry Breaking in Sr_{3}Ru_{2}O_{7}H Yamase, A A. Katanin Journal of the Physical Society of Japan 76 (7), 073706, 2007 | 54 | 2007 |

Correlated starting points for the functional renormalization group N Wentzell, C Taranto, A Katanin, A Toschi, S Andergassen Physical Review B 91 (4), 045120, 2015 | 50 | 2015 |

Ab initio calculations with the dynamical vertex approximation A Toschi, G Rohringer, AA Katanin, K Held Annalen der Physik 523 (8‐9), 698-705, 2011 | 47 | 2011 |

Renormalization group for phases with broken discrete symmetry near quantum critical points P Jakubczyk, P Strack, AA Katanin, W Metzner Physical Review B 77 (19), 195120, 2008 | 42 | 2008 |

Quantum criticality in the two-dimensional periodic Anderson model T Schäfer, AA Katanin, M Kitatani, A Toschi, K Held Physical Review Letters 122 (22), 227201, 2019 | 35 | 2019 |

Bethe-Salpeter equation at the critical end point of the Mott transition EGCP van Loon, F Krien, AA Katanin Physical Review Letters 125 (13), 136402, 2020 | 29 | 2020 |

Extended dynamical mean field theory combined with the two-particle irreducible functional renormalization-group approach as a tool to study strongly correlated systems AA Katanin Physical Review B 99 (11), 115112, 2019 | 27 | 2019 |

Momentum-dependent susceptibilities and magnetic exchange in bcc iron from supercell dynamical mean-field theory calculations AS Belozerov, AA Katanin, VI Anisimov Physical Review B 96 (7), 075108, 2017 | 23 | 2017 |

Nonlocal correlations in the vicinity of the phase transition in iron within a DMFT plus spin-fermion model approach AA Katanin, AS Belozerov, VI Anisimov Physical Review B 94 (16), 161117, 2016 | 19 | 2016 |

Universal Berezinskii-Kosterlitz-Thouless dynamic scaling in the intermediate time range in frustrated Heisenberg antiferromagnets on a triangular lattice IS Popov, PV Prudnikov, AN Ignatenko, AA Katanin Physical Review B 95 (13), 134437, 2017 | 15 | 2017 |